Answer: The equation shall be
8 = 4W
Step-by-step explanation: The perimeter has been given as 46 feet, whereas the length and the width are not yet given. But the clue we have states that “the length is 19 feet longer than the width,” which means, if the width is W then the length shall be 19 plus W. We can express the dimensions as;
Length = 19 + W
Width = W
We can now express the perimeter as follows;
Perimeter = 2(L + W)
46 = 2(19 + W + W)
46 = 2(19 + 2W)
46 = 38 + 4W
Subtract 38 from both sides of the equation
8 = 4W
Answer:
6 hours 30 minutes
Step-by-step explanation:
morning work=3 hours 45 minutes
afternoon work=2 hours 45 minutes
total hours=?
Here,
3 hours 45 minutes+2 hours 45 minutes
=6 hours 30 minutes
Therefore,Terry Baelett worked 6hours 30 minutes a day.
Answer:
Substitute the x and y values from the ordered pairs into the equation, one by one, until both sides of the equation are equal.
Step-by-step explanation:
A. (-2,-3)
3 * (-2) - 4 * (-3) = 21
-6 + 12 = 21
6 = 21 <u>not equal</u>
B. (0,7)
3 * 0 - 4 * 7 = 21
0 - 28 = 21
- 28 = 21 <u>n</u><u>o</u><u>t</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>l</u>
C. (7,0)
3 * 7 - 4 * 0 = 21
21 - 0 = 21
21 = 21 <u>equal</u>
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒ 
"The sum of the numbers is 43"
⇒ 
<u>2) Use substitution to solve for the smaller number</u>
Plug the equation into the above equation
Subtract both sides by 7
Divide both sides by 3 to isolate x
Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>
Plug in x as 12
Subtract both sides by 12 to isolate y
Therefore, the greater number equates to 31.
I hope this helps!
Answer:
y ≈ 32.0°
Step-by-step explanation:
Since the triangle is right use the sine ratio to find y
sin y = 
= 
, thus
y = 
( ) ≈ 32.0° ( nearest tenth )
